论文信息 - A generalization of cooperative games and its solution concept

A generalization of cooperative games and its solution concept

協力ゲームは人々の提携に伴う利得と，それに基づく利得配分を分析するための理論である．協力ゲームは特性関数で表現され，利得の配分は協力ゲームの解とよばれる．本稿では通常の提携型ゲームの定義域をより広いクラスへ一般化して議論し，１つの新たな解概念を導入する．この拡張により，多選択肢ゲーム，双容量などの束上のゲームおよびその解概念を統一的に取り扱うことができることを例を通して示す．

Aoi Honda | Katsushige Fujimoto

[1] U. Faigle,et al. The Shapley value for cooperative games under precedence constraints , 1992 .

[2] A new characterization of a value of the generalized game , 2009 .

[3] Michel Grabisch,et al. An axiomatization of entropy of capacities on set systems , 2008, Eur. J. Oper. Res..

[4] Dan S. Felsenthal,et al. Ternary voting games , 1997, Int. J. Game Theory.

[5] Roger B. Myerson,et al. Graphs and Cooperation in Games , 1977, Math. Oper. Res..

[6] Aoi Honda,et al. Axiomatization of Shapley Values of Fagle and Kern Type on Set Systems , 2008, J. Adv. Comput. Intell. Intell. Informatics.

[7] M. Sugeno. FUZZY MEASURES AND FUZZY INTEGRALS—A SURVEY , 1993 .

[8] Michel Grabisch. Capacities and Games on Lattices: a Survey of Results , 2006, Int. J. Uncertain. Fuzziness Knowl. Based Syst..

[9] Gerard Hamiache,et al. A Value with Incomplete Communication , 1997 .

[10] Michel Grabisch,et al. Entropy of capacities on lattices and set systems , 2006, Inf. Sci..

[11] M. Grabisch,et al. Bi-capacities for decision making on bipolar scales , 2002 .

[12] T. E. S. Raghavan,et al. Shapley Value for Multichoice Cooperative Games, I , 1993 .

[13] Alexander Dukhovny,et al. General Entropy of General Measures , 2002, Int. J. Uncertain. Fuzziness Knowl. Based Syst..

[14] Peter Borm,et al. On the Position Value for Communication Situations , 1992, SIAM J. Discret. Math..